7,231,223

23 × 314401

Starting at 7,231,223, the Collatz iteration reaches 1 after 253 steps. The first transition is 21693670; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 23 × 314401

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 7,545,648

Proper Divisor Sum 314,425

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #7231219 ← → #7231247

Radix Representation

Decimal	7231223
Binary	11011100101011011110111 (23 bits)
Octal	0o33453367
Hexadecimal	0x6E56F7

Divisor Catalog (4)

1 23 314,401 7,231,223

Collatz Trajectory (253 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,231,223 21,693,670 10,846,835 32,540,506 16,270,253 48,810,760 24,405,380 12,202,690 6,101,345 18,304,036 9,152,018 4,576,009 13,728,028 6,864,014 3,432,007 10,296,022 5,148,011 15,444,034 7,722,017 23,166,052 11,583,026 5,791,513 17,374,540 8,687,270 4,343,635 13,030,906 6,515,453 19,546,360 9,773,180 4,886,590 2,443,295 7,329,886 3,664,943 10,994,830 5,497,415 16,492,246 8,246,123 24,738,370 12,369,185 37,107,556 18,553,778 9,276,889 27,830,668 13,915,334 6,957,667 20,873,002 10,436,501 31,309,504 15,654,752 7,827,376 3,913,688 1,956,844 978,422 489,211 1,467,634 733,817 2,201,452 1,100,726 550,363 1,651,090

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